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arxiv: hep-th/0002236 · v2 · submitted 2000-02-28 · ✦ hep-th

The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models

classification ✦ hep-th
keywords diracnon-commutativeoperatortermtheorywess-zumino-wittenactionanomaly
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We study the effective action associated to the Dirac operator in two dimensional non-commutative Field Theory. Starting from the axial anomaly, we compute the determinant of the Dirac operator and we find that even in the U(1) theory, a Wess-Zumino-Witten like term arises.

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